"I haven't committed to any club, I haven't talked to anybody", Valverde said.
"I am very happy and thankful for the chance the club has taken on me", he told the club's website.
'He played here for Barcelona as a player and I think he could be a good option, as could others.
"I have had a lot of doubts, but my work here is done".
Now the situation is different and I have to consider whether I start a new project in another club.
"Ernesto Valverde will not continue as coach of the Athletic Club first team in the 2017-18 campaign", read a brief Athletic statement released on Tuesday. "Now I have to decide whether I will take on a new adventure, and it would have to be a challenging one".